The family of the woman shot by mistake during a police raid on a Brooklyn stolen-goods shop is suing the city for $100 million, saying trigger-happy cops went over the line.

Viven Rodriguez, 30, of 217 Patchen Ave. in Brooklyn, was shot in the stomach Monday night when heavily armed elite cops from the Emergency Service Unit raided a suspected fencing operation in Williamsburg known as The Spot.

Cops may have mistaken Rodriguez’s cell-phone or pocketbook for a gun, law-enforcement sources said.

Mayor Bloomberg said the shooting appeared to be an accident. He said cops armed with a warrant had followed the proper procedures.

“They had the right place,” said Bloomberg.

Rodriguez was in critical but stable condition at Bellevue Hospital.

“There’s no reason for this,” said Rodriguez’s aunt Casilda Tejera. “It’s not right, and it’s not just.”

Tejera told The Post her niece went to The Spot at 282 South 2nd St. at around 8 p.m. on Monday to look for a cheap pair of pants and was shot when cops stormed in with a warrant for fenced goods.

“My niece is no criminal,” she told The Post. “She didn’t deserve to get shot just for buying a pair of pants. Going into that store doesn’t make her a criminal.”

Attorney Steve Delorenz, citing emotional and physical suffering, said he was suing the city for $100 million on behalf of Rodriguez’s uncle Miguel Rodriguez and another aunt, Lidia Rodriguez.

“There has been a brutal shooting by police at an unarmed mother of two kids,” Delorenz said, adding that Rodriguez had been handcuffed to her hospital bed after undergoing surgery. “She is a Christian woman who goes to church several times a week.”

Police said The Spot doubled as an outlet for stolen electronics, silverware, perfumes and clothes. Neighbors said the shop even sold caged parakeets at a discount, and cops showed reporters boxes filled with clothes from The Gap, Old Navy, Tommy Hilfiger and Polo, as well as sunglasses and watches.

“It’s like a regular shopping mall in there,” said one cop.

Preliminary reports indicated Viven Rodriguez ran into a bathroom when she heard cops coming, and that one officer – identified as Detective Martin Kane – may have mistaken her cell phone or pocketbook for a gun.

“She saw them coming in and she ran from them,” the source said. “She faced him and he fired one shot. He thought she had a weapon.”

Police said they had not yet spoken to Kane about the incident.

A spokeswoman for cable network HBO said a documentary crew covering the elite cop squad had filmed the entire raid.